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IEEE International Conference on the Science of Electrical Engineering in Israel (ICSEE)

作者： Peretz, Yossi Merzbach, Oria Moyal, Simon Jerusalem Coll Technol Lev Acad Ctr Comp Sci Dept Jerusalem Israel

ISBN: (纸本)9781538663783

A new theorem regarding the robust stability hypercube-tolerance with respect to the specific system defined by the middle-point of a hypercube and a given stabilizing static-output-feedback for it, is proved. Based on the theorem and using the Ray-Shooting Method, a randomized algorithm for the problem of robust stabilization via static-output feedback is suggested. The suggested algorithm has several advantages over existing LMI based algorithms and can easily incorporate structural and other constraints on the controller.

关键词： continuous-time linear systems State-Space Representation Feedback Stability Robust Stability Simultaneous Stabilization Static Output Feedbacks Randomized Algorithms Approximation Algorithms Convergence In Probability

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On applications of the ray-shooting method for structured and structured-sparse static-output-feedbacks

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INTERNATIONAL JOURNAL OF systems SCIENCE 2017年第9期48卷 1902-1913页

作者： Peretz, Y. Jerusalem Coll Technol Comp Sci Dept Lev Acad Ctr Jerusalem Israel

A randomised optimisation method, called the ray-shooting method that efficiently solves the minimisation problem of continuous functions over compact non-convex unconnected regions, was introduced recently. Based on the ray-shooting method, an algorithm is suggested for solving the problems of structured and structured-sparse stabilising static-output-feedbacks. The algorithm presented here is a randomised algorithm, with a proof of convergence in probability. Its practical implementation has a good performance, in terms of quality of controllers, percent of success and run-time.

关键词： continuous-time linear systems state-space representation static-output-feedbacks structured controllers sparse controllers randomised algorithms approximation algorithms convergence in probability

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On Parametrization of All the Exact Pole-Assignment State-Feedbacks for LTI systems

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2017年第7期62卷 3436-3441页

作者： Peretz, Y. Jerusalem Coll Technol Lev Acad Ctr Dept Comp Sci POB 16031 Jerusalem Israel

In this technical note, we provide a parametrization of all the exact pole-assignment state-feedbacks for LTI systems, when the set of poles to be assigned contains sufficient number of real eigenvalues. We also refute a recent conjecture concerning the explicit form of all the state-feedbacks assigning a given set of poles to the closed-loop.

关键词： continuous-time linear systems discrete-time linear systems state-space representation feedback stability state feedbacks pole-assignment problem

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A Randomized Algorithm for Optimal PID Controllers

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ALGORITHMS 2018年第6期11卷 81-81页

作者： Peretz, Yossi Jerusalem Coll Technol Lev Acad Ctr Dept Comp Sci POB 16031 Jerusalem Israel

A randomized algorithm is suggested for the syntheses of optimal PID controllers for MIMO coupled systems, where the optimality is with respect to the H-infinity-norm, the H-2-norm and the LQR functional, with possible system-performance specifications defined by regional pole-placement. Other notions of optimality (e.g., mixed H-2/H-infinity design, controller norm or controller sparsity) can be handled similarly with the suggested algorithm. The suggested method is direct and thus can be applied to continuous-time systems as well as to discrete-time systems with the obvious minor changes. The presented algorithm is a randomized algorithm, which has a proof of convergence (in probability) to a global optimum.

关键词： continuous-time linear systems discrete-time linear systems state-space representation proportional-integral-differential controllers static output feedbacks optimal controllers randomized algorithms convergence in probability

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Conservatism reduction in simultaneous output feedback stabilisation of linear systems

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IET CONTROL THEORY AND APPLICATIONS 2016年第17期10卷 2243-2250页

作者： Kohan-Sedgh, Peyman Khayatian, Alireza Asemani, Mohammad H. Shiraz Univ Dept Elect Engn Shiraz Iran

This study concerns with simultaneous output feedback stabiliser for continuous-time linear systems. Two convex methods based on structured slack variable and dilated matrix inequalities are proposed. Both methods are based on non-common Lyapunov approach and designs are independent of controller order. Sufficiency of the first method decreases with increasing the number of system inputs. The second method, namely the dilated method, contains free scalar parameters. These parameters can be used to shape the controller for some performance objectives. In particular, it is proved that the dilated method can give less or at least the same conservative results than existing methods with equality constraints. It is also shown that the feasibility region of these two methods does not coincide and thus combining them can increase the chance of finding simultaneous stabiliser. Extensive numerical studies and benchmark examples are used to reveal the conservatism reduction merit.

关键词： linear systems continuous time systems stability Lyapunov methods simultaneous output feedback stabilisation continuous-time linear systems convex methods structured slack variable dilated matrix inequalities noncommon Lyapunov approach controller order dilated method free scalar parameters conservatism reduction merit

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Distributed H_∞ filtering over sensor networks with heterogeneous Markovian coupling intercommunication delays

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IET CONTROL THEORY AND APPLICATIONS 2015年第1期9卷 82-90页

作者： Ge, Xiaohua Han, Qing-Long Jiang, Xiefu Cent Queensland Univ Ctr Intelligent & Networked Syst Rockhampton Qld 4702 Australia Griffith Univ Griffith Sch Engn Brisbane Qld 4222 Australia Hangzhou Dianzi Univ Sch Automat Hangzhou 310018 Zhejiang Peoples R China

This study is concerned with distributed H filtering for continuous-time linear systems over sensor networks with heterogeneous Markovian coupling intercommunication delays. The set of sensor nodes forms a sensing and communication network whose topology is modelled by a directed graph that describes the measurement exchanged among neighbouring sensor nodes. Heterogeneous random coupling delays modelled by a Markov process are considered in the intercommunication between interacting sensor nodes. A refined two-step decoupling technique is presented to deal with the complicated coupling of exchanged measurement in the presence of the delays. A sufficient condition on the existence of desired distributed H filters is derived such that the resultant filtering error system is mean square exponentially stable with prescribed weighting average H performance. Two illustrative examples are given to show the effectiveness of the proposed results.

关键词： H filters filtering theory distributed sensors delays Markov processes asymptotic stability linear systems continuous time systems distributed parameter systems distributed H filtering sensor networks heterogeneous Markovian coupling intercommunication delays continuous-time linear systems sensing network communication network neighbouring sensor nodes directed graph heterogeneous random coupling delays Markov process refined two-step decoupling technique resultant filtering error system mean square exponential stability weighting average H performance

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LMI Constraints on System Eigenvalues Placement in Dynamic Output Control Design

LMI Constraints on System Eigenvalues Placement in Dynamic O...

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IEEE Conference on Control and Applications (CCA)

作者： Krokavec, Dusan Filasova, Anna Tech Univ Kosice Fac Elect Engn & Informat Dept Cybernet & Artificial Intelligence Letna 9-B Kosice 04200 Slovakia

ISBN: (纸本)9781479977871

The paper addresses the problem of pole placement control for continuous-time linear systems under control of dynamic output controllers. Sufficient conditions for design feasibility are outlined in terms of linear matrix inequalities and equalities for a prescribed D-stable circular region in the open left-half plane. In addition it is proven that by this way formulated pole placement problem is equivalently uttered using a quadratic constraint being added to Lyapunov function. The proposed design principle is generalized in an enhanced form giving the possibility to solve this task.

关键词： Lyapunov methods continuous time systems control system synthesis eigenvalues and eigenfunctions linear matrix inequalities linear systems pole assignment stability D-stable circular region LMI constraints Lyapunov function continuous-time linear systems dynamic output control design dynamic output controllers pole placement control quadratic constraint sufficient conditions system eigenvalue placement Closed loop systems Control design Eigenvalues and eigenfunctions linear matrix inequalities Matrices Symmetric matrices linear matrix inequalities Eigenfunctions Lyapunov methods continuous time systems pole assignment Closed loop systems Symmetric matrix control system synthesis design control Liapunov function Sufficient conditions linear system matrices

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Performance Analysis of Resilient Dynamic Feedback H₂ Controllers

Performance Analysis of Resilient Dynamic Feedback <i>H<sub>...

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IEEE Conference on Control and Applications (CCA)

作者： Feng, Fan Bonniwell, Jennifer L. Schneider, Susan C. Yaz, Edwin E. Marquette Univ Dept Elect & Comp Engn Milwaukee WI 53233 USA

ISBN: (纸本)9781479977871

In this work, a procedure is presented for performance analysis of the resilience and H-2 property of continuous-time systems controlled by full-order dynamic feedback compensators. The resilience property is defined in terms of perturbations on both the controller and observer gains that will maintain controller and observer eigenvalues in disjoint vertical strips in the complex plane. Maximum gain perturbation bounds can be obtained based on the controller and observer eigenvalue regions and the resulting H-2-norm bound is calculated. The linear matrix inequality technique is used throughout the analysis process. Illustrative examples are included to demonstrate the effectiveness of the proposed methodology.

关键词： H2 control compensation continuous time systems control system synthesis eigenvalues and eigenfunctions feedback linear matrix inequalities linear systems observers perturbation techniques H2 property H2-norm bound continuous-time linear systems continuous-time systems controller gains disjoint vertical strips full-order dynamic feedback compensators linear matrix inequality technique maximum gain perturbation bounds observer eigenvalue regions observer eigenvalues observer gains performance analysis perturbations resilience property resilient dynamic feedback H2 controllers resilient dynamic feedback H2 controllers Closed loop systems Eigenvalues and eigenfunctions linear matrix inequalities Observers Resilience Strips continuous time systems linear matrix inequalities Eigenfunctions Observers Closed loop systems Resilience control system synthesis perturbation Ribbon Device Component Feedback Controllers linear system compensated perturbation techniques controller gain

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Identification of continuous-time linear systems with time-delay

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IFAC Proceedings Volumes 2009年第10期42卷 898-903页

作者： M. M'SAAD M. FARZA GREYC UMR 6072 CNRS Universit de Caen ENSICAEN 6 Bd Maréchal Juin 14050 Caen Cedex France

This paper addresses the identification problem of time-delay linear continuous-time systems. More specifically, the involved parameters and time-delay are jointly estimated using a suitable adaptive observer. The latter heavily borrows from the high gain observer design that has been widely investigated throughout the last decade. Global exponential convergence of the parameters and time delay estimates to their trues values is established under an appropriate persistent excitation property. The performance of the proposed identification approach is demonstrated by a simulation study involving an academic example.

关键词： continuous-time linear systems time-delay System identification Adaptive observer High gain concept Exponential convergence

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An Introduction to the Fractional continuous-time linear systems: The 21^st Century systems

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IEEE CIRCUITS AND systems MAGAZINE 2008年第3期8卷 19-26页

作者： Ortigueira, Manuel Duarte Univ Nova Lisboa Fac Ciencias & Tecnol P-1200 Lisbon Portugal

A brief introduction to the fractional continuous-time linear systems is presented. It will be done without needing a deep study of the fractional derivatives. We will show that the computation of the impulse and step responses is very similar to the classic. The main difference lies in the substitution of the exponential by the Mittag-Leffler function. We will present also the main formulae defining the fractional derivatives.

关键词： calculus continuous time systems linear systems step response transient response Mittag-Leffler function continuous-time linear systems fractional calculus impulse response TRANSIENT RESPONSE Step response continuous time systems IMPULSE RESPONSE Fractional calculus linear system

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